Lipschitz continuous

[[concept]]

lipschitz stable / continuous

A function $f : x \to y$ is $c -$ Lipschtiz stable/continuous if

| | f (x) - f (x^{'}) | | \leq c | | x - x^{'} | | \forall x, x^{'}

or if $| | f^{'} (x) | | \leq c \forall x$

File
2025-09-23 Carey Performance Guarantees for LLMs
GNNs inherit stability from their layers
Lipschitz filters are stable to additive perturbations
Lipschitz graphon filter
continuity for linear functions
convergence bound for graph convolutions
graph convolutions are stable to perturbations in the data and coefficients
integral Lipschitz filters are stable to relative perturbations
integral lipschitz filters are stable to dilations
lipschitz graph convolutions of graph signals converge to lipschitz graphon filters
lipschitz graph filter
proving convergence behavior in the DKPS
stability-discriminability tradeoff for Lipschitz filters
2025-03-05 graphs lecture 12
2025-03-10 graphs lecture 13
2025-03-26 lecture 15
2025-04-07 lecture 18
2025-04-09 lecture 19
2025-04-14 lecture 20
Improved Image Classification with Manifold Neural Networks
Statistical exploration of the Manifold Hypothesis